Question

A rabbit fell into a hole that was 14 1/2
feet deep. It couldjump 3 feet, but he slid back a foot each time it jumped.How many jumps does it take it to get out of the hole.

Answer 1

Given:

• Depth of the whole = 14 1/2 feet = 14.5 feet
• Rabbit can jump 3 feet
• Slid back 1 feet in each jump

To find: The number of jumps required to take itself out of the whole

Solution:

In the 1st jump, it moves 3 feet and slides back 1 feet.

So position = 3 - 1 feet = 2 feet

In the 2nd jump, it moves 3 feet and slides back 1 feet.

So position = 2 + 2 feet = 4 feet

In the 3rd jump, it moves 3 feet and slides back 1 feet.

So position = 4 + 2 feet = 6 feet

In the 4th jump, it moves 3 feet and slides back 1 feet.

So position = 6 + 2 feet = 8 feet

In the 5th jump, it moves 3 feet and slides back 1 feet.

So position = 8 + 2 feet = 10 feet

In the 6th jump, it moves 3 feet and slides back 1 feet.

So position = 10 + 2 feet = 12 feet

In the 7th jump, it moves 3 feet and its position is 12 + 3 feet = 15 feet > 14.5 feet

i.e., in 7th jump, the rabbit will be out of the hole

Answer: In 7 jumps, the rabbit will get out of the hole.

Answer 2

Given : A rabbit fell into a hole that was 14 1/2  feét deep. It could jump 3 feet, but he slid back a foot each time it jumped

To find : How many jumps does it take it to get out of the hole.​

Solution:

no.       After Jump            After  Slide back

1               3                         2

2              5                         4

3              7                         6

4              9                         8

5              11                         10

6              13                        12

7              15                        Rabbit is already out hence  no slide back

So 7 jumps are required by rabbit  to get out of the hole

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